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Finding the Third Proportional to 711,321.75 and 1,066,992.75

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Solution

The third proportional to 711,321.75 and 1,066,992.75 is: 1,600,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,321.75 : 1,066,992.75 = 1,066,992.75 : x
  2. Step 2: Convert to fraction form
    711,321.75/1,066,992.75 = 1,066,992.75/x
  3. Step 3: Cross multiply
    711,321.75x = 1,066,992.75 × 1,066,992.75
  4. Step 4: Simplify right side
    711,321.75x = 1,138,473,528,552.56
  5. Step 5: Solve for x
    x = 1,138,473,528,552.56/711,321.75
  6. Step 6: Final answer
    x = 1,600,504.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.